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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000005657811747 2,234 digits created 2023-12-25

Value

22042580571907031625808290354579714244314048364293071279585623313943519556648892942574315203645897263378006710093872252146887629481543119917338217660643672745682455598334001537979784741775909445744991146157332699900098431828651051749285083904270989650312827125526936646713234394649700358618902863779540943749436678305528705739410471850051426076220008485012583813829795300434684343229593643463544489582774135366300486461047852158911367714630857529442486273768644778214533866271578459099211547810375427579406060538655316915780888710595957180691002234941415940346442487651701068301978957669690033671455397623272701995227920169391044211042802242024430751755281663305308645882103780703535996760627436955277286476193747938391623559054442192270946280897001912254577869368957176427657875566929401496427226857266352766798699953897761322819360881395684614207688393045518967378146153868241249237472343772372659470130567070034763735566082547643569598083373187546880035145565276854710900722286134473523036878077558600637490653956858444948459992009123066496043156918918917094971112968964414101671786538031918580251901304117083433764722433156257036873537242371198594858750770285223552612748089008064445082113249674408475928958940161269924295787590398719805910232548008947624211856665092490358234635048913132354355333572940412549179327545192649165171393634159092881460892826139999563527702996497022679455648971025710963922773047742780792941820108247018132754683305692963727017879444740120543248074754367396426916326241389937462361738783685998370586969178134468332808556609334680089643349823947006691996823290072683570331677609567376168206802360309505828284723184830404499803711467434958929874806773537499395563282599915031776928485161982937846989738637071889509009430741796945121606394564857282477097777739933128469373986161648565782234800962757342471025939498515620745322294646858302875522406383492915797500284120093989902119334522374501577801622902817215807270430449280592775799959184849023366897472930443741677699679421335784454502796977001350852719044906558644650515398214472107995329190955220619454128895120997760300608882837592216941764602295197357301289539359477216028517664256264393168635029326100698746116282746165672779409583594009474601687
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 2,856-digit prime (217 intermediate primes).

Certified number2,856-digit prime
Certificatedownload
Certificate chainshow step 46 of 217

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005657811747 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000005657811747},"decimal":true,"detail":2}}'